A current loop, carrying a current of 5.0 A, is in the shape of a right triangle with sides 30, 40, and 50 cm.The loop is in a uniform magnetic field of magnitude 80 mT whose direction is parallel to the current in the 50 cm side of the loop. Find the magnitude of (a) the magnetic dipole moment of the loop and (b) the torque on the loop.

In the figure,  the cube is 26.0 cm on each edge. Four straight segments of wire ab, bc, cd, and da form a closed loop that carries a current I = 5.60 A in the direction shown. A uniform magnetic field of magnitude B = 0.0600 T is in the positive y-direction. (a) Determine the magnitude of the magnetic force in segment ab. (b) Determine the magnitude of the magnetic force in segment bc. (c) Determine the magnitude of the magnetic force in segment cd.

As shown in the figure, a long, hollow, conducting cylinder of inner radius a and outer radius b carries a current that is flowing out of the page. Suppose that a = 4.93 cm, b = 7.93 cm, and the current i = 103 mA, uniformly distributed over the cylinder wall (between a and b). Find the magnitude of the magnetic field at each of the following distances r from the center of the cylinder:  a)r = 6.39 cm.  b) r = 9.25 cm.

An infinitely long wire carrying a current of I = 2.95 A is bent into the shape shown in the figure. The angle the arc subtends is e = 68.0° and the radius of the arc is 24.5 cm. Determine the magnitude and direction of the magnetic field at the point P which is at the center of the arc. (Let the +x direction point to the right, the +y direction point up, and the +z direction point out of the page.) magnitude direction --Select--- -Select--- +x

Find the torque exerted on a small magnetic dipole with a magnetic moment of 1.9 ✕ 10−4 A · m2 along the +y-direction in a region of magnetic field of 1.6 T oriented along the +z-axis. Find the magnitude and direction.

A square loop with 10 turns and a side length of 5.0 cm lies flat on a tabletop. The loop carries a current of 2.0 A that goes counterclockwise when viewed from above while looking down on the table. (a) What is the magnitude and direction of the magnetic moment of the loop? (b) If there is a uniform magnetic field with magnitude 0.75 T at the location of the loop that heads down through the tabletop and makes an angle of 60 degrees with the surface of the tabletop, then answer the following: (i) what is the magnitude of the net magnetic force on the loop, and (ii) what is the magnitude of the net torque on the loop? (c) Include a diagram of the situation.